920753856 has 168 divisors, whose sum is σ = 2905310928. Its totient is φ = 278784000.

The previous prime is 920753849. The next prime is 920753887. The reversal of 920753856 is 658357029.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766056 + ... + 767256.

Almost surely, 2^920753856 is an apocalyptic number.

920753856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452655464).

920753856 is an abundant number, since it is smaller than the sum of its proper divisors (1984557072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920753856 is a wasteful number, since it uses less digits than its factorization.

920753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 920753856 is about 30343.9261797151. The cubic root of 920753856 is about 972.8544029406.

The spelling of 920753856 in words is "nine hundred twenty million, seven hundred fifty-three thousand, eight hundred fifty-six".